(-2x+9)(4x-12)=

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Solution for (-2x+9)(4x-12)= equation: 


Simplifying
(-2x + 9)(4x + -12) = 0

Reorder the terms:
(9 + -2x)(4x + -12) = 0

Reorder the terms:
(9 + -2x)(-12 + 4x) = 0

Multiply (9 + -2x) * (-12 + 4x)
(9(-12 + 4x) + -2x * (-12 + 4x)) = 0
((-12 * 9 + 4x * 9) + -2x * (-12 + 4x)) = 0
((-108 + 36x) + -2x * (-12 + 4x)) = 0
(-108 + 36x + (-12 * -2x + 4x * -2x)) = 0
(-108 + 36x + (24x + -8x2)) = 0

Combine like terms: 36x + 24x = 60x
(-108 + 60x + -8x2) = 0

Solving
-108 + 60x + -8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-27 + 15x + -2x2) = 0

Factor a trinomial.
4((-9 + 2x)(3 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + 2x)' equal to zero and attempt to solve:

Simplifying
-9 + 2x = 0

Solving
-9 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 2x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 0 + 9
2x = 0 + 9

Combine like terms: 0 + 9 = 9
2x = 9

Divide each side by '2'.
x = 4.5

Simplifying
x = 4.5

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {4.5, 3}

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